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A Stone Is Dropped into a Lake, Creating a Circular 45 cm/s45 \mathrm {~cm} / \mathrm { s }

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A stone is dropped into a lake, creating a circular ripple that travels outward at a speed of 45 cm/s45 \mathrm {~cm} / \mathrm { s } . Express the radius rr of this circle as a function of the time tt (in seconds) and find ArA \circ r , if AA is the area of this circle as a function of the radius.


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